id	sid	eid	entity	type
ma-171	1	1	2023	CARDINAL
ma-171	2	1	j. math	PERSON
ma-171	4	1	3 (	CARDINAL
ma-171	4	2	2023	CARDINAL
ma-171	4	3	21doi	CARDINAL
ma-171	4	4	10.28924	CARDINAL
ma-171	4	5	i. s. oriedo1	PERSON
ma-171	4	6	j. o. bonyo3,∗ 1department	PERSON
ma-171	4	7	maseno university	ORG
ma-171	4	8	p.o.	ORG
ma-171	4	9	333-40105	CARDINAL
ma-171	4	10	kenya	GPE
ma-171	5	1	2department	PERSON
ma-171	5	2	masinde muliro university of science and technology	ORG
ma-171	5	3	p.o.	ORG
ma-171	5	4	190-50100	CARDINAL
ma-171	5	5	kakamega	PERSON
ma-171	5	6	kenya	GPE
ma-171	5	7	kenya	GPE
ma-171	5	8	p.o.	GPE
ma-171	5	9	15653-00503	DATE
ma-171	5	10	nairobi	GPE
ma-171	5	11	kenya	GPE
ma-171	12	1	1	CARDINAL
ma-171	13	1	2019	DATE
ma-171	13	2	at least 1.7 million	CARDINAL
ma-171	13	3	the end of the year 2018	DATE
ma-171	13	4	13].scientific	CARDINAL
ma-171	14	1	80%reduction	CARDINAL
ma-171	14	2	2	CARDINAL
ma-171	14	3	1	CARDINAL
ma-171	14	4	2023	CARDINAL
ma-171	16	1	https://adac.ee https://doi.org/10.28924/ada/ma.3.21	PERSON
ma-171	17	1	j. math	PERSON
ma-171	19	1	10.28924	CARDINAL
ma-171	19	2	70%	PERCENT
ma-171	19	3	3	CARDINAL
ma-171	20	1	2012	DATE
ma-171	20	2	the u.s food and drug administration	ORG
ma-171	20	3	fda	ORG
ma-171	20	4	14	CARDINAL
ma-171	21	1	tdf2,e.t.c	ORG
ma-171	22	1	theiprex	NORP
ma-171	22	2	8	CARDINAL
ma-171	23	1	two	CARDINAL
ma-171	23	2	studies;partners	PERSON
ma-171	23	3	tdf2	ORG
ma-171	24	1	100%	PERCENT
ma-171	24	2	11	CARDINAL
ma-171	25	1	11	CARDINAL
ma-171	26	1	9	CARDINAL
ma-171	29	1	6	CARDINAL
ma-171	30	1	3	CARDINAL
ma-171	30	2	one	CARDINAL
ma-171	30	3	4	CARDINAL
ma-171	30	4	5	CARDINAL
ma-171	32	1	2	CARDINAL
ma-171	33	1	two	CARDINAL
ma-171	35	1	8	CARDINAL
ma-171	36	1	two	CARDINAL
ma-171	38	1	j. math	PERSON
ma-171	40	1	10.28924	CARDINAL
ma-171	46	1	+ i(t	PERSON
ma-171	47	1	1	CARDINAL
ma-171	47	2	0	CARDINAL
ma-171	49	1	1−	CARDINAL
ma-171	49	2	0 ≤	MONEY
ma-171	50	1	1−	CARDINAL
ma-171	50	2	0 ≤	MONEY
ma-171	50	3	1	CARDINAL
ma-171	51	1	1	CARDINAL
ma-171	53	1	j. math	PERSON
ma-171	55	1	10.28924	CARDINAL
ma-171	55	2	1	CARDINAL
ma-171	58	1	1− δ	PRODUCT
ma-171	63	1	1	CARDINAL
ma-171	64	1	1−	WORK_OF_ART
ma-171	64	2	1−	ORDINAL
ma-171	64	3	1− φ1)(1− φ2)λsh +	DATE
ma-171	64	4	1−	ORDINAL
ma-171	68	1	+ µ)td da	PERSON
ma-171	71	1	µ+ σ)a	ORG
ma-171	72	1	2	CARDINAL
ma-171	72	2	3	CARDINAL
ma-171	72	3	2	CARDINAL
ma-171	72	4	0	CARDINAL
ma-171	72	5	i(t	PERSON
ma-171	75	1	2	CARDINAL
ma-171	75	2	2	CARDINAL
ma-171	75	3	two	CARDINAL
ma-171	77	1	j. math	PERSON
ma-171	79	1	10.28924	CARDINAL
ma-171	80	1	0	CARDINAL
ma-171	80	2	2	CARDINAL
ma-171	80	3	1− δ)λ µ	PRODUCT
ma-171	80	4	0	CARDINAL
ma-171	80	5	0	DATE
ma-171	80	6	0	CARDINAL
ma-171	81	1	3	CARDINAL
ma-171	81	2	2	CARDINAL
ma-171	82	1	10	CARDINAL
ma-171	83	1	4)by	CARDINAL
ma-171	84	1	10	CARDINAL
ma-171	84	2	2	CARDINAL
ma-171	85	1	3.1	CARDINAL
ma-171	86	1	2	CARDINAL
ma-171	86	2	0	CARDINAL
ma-171	86	3	0	DATE
ma-171	86	4	0	DATE
ma-171	88	1	2	CARDINAL
ma-171	88	2	10	CARDINAL
ma-171	89	1	3.1	CARDINAL
ma-171	92	1	3.2	CARDINAL
ma-171	93	1	0	CARDINAL
ma-171	93	2	0	DATE
ma-171	93	3	0	DATE
ma-171	93	4	2	CARDINAL
ma-171	94	1	castillo chavez’s	PERSON
ma-171	94	2	1	CARDINAL
ma-171	94	3	2	CARDINAL
ma-171	94	4	x∗,0	GPE
ma-171	94	5	a).now	PERSON
ma-171	95	1	1−	WORK_OF_ART
ma-171	96	1	pz− g̃(x	PERSON
ma-171	98	1	1− φ2)β2sl n 0	TIME
ma-171	98	2	0	CARDINAL
ma-171	102	1	https://doi.org/10.28924/ada/ma.3.21 eur	PERSON
ma-171	103	1	j. math	PERSON
ma-171	105	1	10.28924	CARDINAL
ma-171	105	2	1−	ORDINAL
ma-171	110	1	g̃(x	PERSON
ma-171	111	1	0	CARDINAL
ma-171	113	1	3.1	CARDINAL
ma-171	114	1	thereforefollowing castillo chavez’s	PERSON
ma-171	115	1	3.2	CARDINAL
ma-171	115	2	1	CARDINAL
ma-171	115	3	3.1	CARDINAL
ma-171	117	1	3.3	CARDINAL
ma-171	118	1	s∗∗h	ORG
ma-171	119	1	2	CARDINAL
ma-171	119	2	1	CARDINAL
ma-171	121	1	2	CARDINAL
ma-171	121	2	zero	CARDINAL
ma-171	121	3	0	CARDINAL
ma-171	121	4	5	CARDINAL
ma-171	121	5	1− δ)λ−	PRODUCT
ma-171	121	6	1−	CARDINAL
ma-171	121	7	0	CARDINAL
ma-171	121	8	6	CARDINAL
ma-171	121	9	0	CARDINAL
ma-171	121	10	7	CARDINAL
ma-171	123	1	0	CARDINAL
ma-171	123	2	8) γ2i	MONEY
ma-171	125	1	0	CARDINAL
ma-171	125	2	9	CARDINAL
ma-171	125	3	9	CARDINAL
ma-171	125	4	a∗∗	ORG
ma-171	126	1	γ2 q3 + αγ3	ORG
ma-171	127	1	j. math	PERSON
ma-171	129	1	10.28924	CARDINAL
ma-171	129	2	5	CARDINAL
ma-171	129	3	0 ⇒ s∗∗h = δλn a1i∗∗	PERSON
ma-171	129	4	1	CARDINAL
ma-171	130	1	1− δ)λn a2i∗ + µn	TIME
ma-171	130	2	1− φ2	DATE
ma-171	130	3	7	CARDINAL
ma-171	130	4	10	CARDINAL
ma-171	130	5	10	CARDINAL
ma-171	131	1	0	CARDINAL
ma-171	132	1	11	CARDINAL
ma-171	132	2	11	CARDINAL
ma-171	133	1	11	CARDINAL
ma-171	134	1	0	CARDINAL
ma-171	135	1	12	CARDINAL
ma-171	138	1	0	CARDINAL
ma-171	139	1	13	CARDINAL
ma-171	140	1	13	CARDINAL
ma-171	142	1	15	CARDINAL
ma-171	145	1	1−	CARDINAL
ma-171	145	2	1− φ1)(1− φ2)(β1 +	WORK_OF_ART
ma-171	146	1	1−	LANGUAGE
ma-171	146	2	δ)λµn −q1q2µnµn https://doi.org/10.28924/ada/ma.3.21 eur	FAC
ma-171	147	1	j. math	PERSON
ma-171	149	1	10.28924	CARDINAL
ma-171	150	1	1	CARDINAL
ma-171	151	1	at least one	CARDINAL
ma-171	151	2	d.	NORP
ma-171	151	3	13	CARDINAL
ma-171	151	4	at least one	CARDINAL
ma-171	151	5	2	CARDINAL
ma-171	151	6	1	CARDINAL
ma-171	151	7	3.2	CARDINAL
ma-171	154	1	3.4	CARDINAL
ma-171	155	1	s∗∗h	ORG
ma-171	156	1	2	CARDINAL
ma-171	156	2	1	CARDINAL
ma-171	157	1	jacobian	NORP
ma-171	157	2	2	CARDINAL
ma-171	157	3	j(e1	GPE
ma-171	158	1	−b1 0	ORG
ma-171	159	1	0	CARDINAL
ma-171	160	1	−q2	CARDINAL
ma-171	160	2	0	CARDINAL
ma-171	161	1	1−φ1)(1−φ2)(β1q2+β2α)µi∗∗+q2µλ q2λ	QUANTITY
ma-171	161	2	1−φ1)(1−φ2)β1a1δλi∗∗ a1i∗∗+λ	DATE
ma-171	161	3	1−φ1)(1−φ2)β2a1δλi∗∗ a1i∗∗+λ	ORG
ma-171	161	4	1−φ2)(β1q2+β2α)µi∗∗+q2µλ q2λ	QUANTITY
ma-171	162	1	1−φ1)(1−φ2)(β1q2+β2α)µi∗∗+q2µλ q2λ	QUANTITY
ma-171	162	2	b8	ORG
ma-171	162	3	1−φ2)(β1q2+β2α)µi∗∗+q2µλ q2λ b9	QUANTITY
ma-171	162	4	1−φ1)(1−φ2)β1a1δλi∗∗ a1i∗∗+λ +	DATE
ma-171	163	1	1−φ1)(1−φ2)β2a1δλi∗∗ a1i∗∗+λ +	DATE
ma-171	163	2	jacobian	NORP
ma-171	163	3	j(e1	PERSON
ma-171	165	1	−b5 −b6	GPE
ma-171	167	1	3	CARDINAL
ma-171	167	2	2 +	DATE
ma-171	167	3	14	CARDINAL
ma-171	172	1	c3	PERSON
ma-171	174	1	zeros	CARDINAL
ma-171	174	2	14	CARDINAL
ma-171	174	3	c3	PERSON
ma-171	175	1	descarte	ORG
ma-171	176	1	j. math	PERSON
ma-171	178	1	10.28924	CARDINAL
ma-171	178	2	c3	PERSON
ma-171	178	3	3	CARDINAL
ma-171	178	4	2 +	DATE
ma-171	178	5	0	CARDINAL
ma-171	178	6	15	CARDINAL
ma-171	178	7	zeros	CARDINAL
ma-171	178	8	15	CARDINAL
ma-171	179	1	zeros	CARDINAL
ma-171	179	2	2	CARDINAL
ma-171	180	1	3	CARDINAL
ma-171	180	2	15	CARDINAL
ma-171	180	3	three	CARDINAL
ma-171	182	1	3	CARDINAL
ma-171	182	2	2	CARDINAL
ma-171	182	3	+ c3	PERSON
ma-171	182	4	1-8	CARDINAL
ma-171	182	5	1	CARDINAL
ma-171	182	6	2	CARDINAL
ma-171	182	7	1	CARDINAL
ma-171	182	8	2	CARDINAL
ma-171	183	1	zeros	CARDINAL
ma-171	183	2	14	CARDINAL
ma-171	183	3	c0 c1 c2 c3 r0	PERSON
ma-171	183	4	1	CARDINAL
ma-171	184	1	1 2	CARDINAL
ma-171	185	1	1 2	CARDINAL
ma-171	186	1	1 2	CARDINAL
ma-171	186	2	1 1 05	QUANTITY
ma-171	187	1	1 1 06	DATE
ma-171	188	1	1 1 07	CARDINAL
ma-171	189	1	1 3 3,18	CARDINAL
ma-171	189	2	1	CARDINAL
ma-171	189	3	2	CARDINAL
ma-171	189	4	1	CARDINAL
ma-171	189	5	ifa	ORG
ma-171	190	1	1	CARDINAL
ma-171	191	1	4	CARDINAL
ma-171	195	1	sr0 w	PERSON
ma-171	196	1	∂r0	GPE
ma-171	196	2	× w r0	ORG
ma-171	196	3	w	ORG
ma-171	197	1	j. math	PERSON
ma-171	199	1	10.28924	CARDINAL
ma-171	199	2	7	CARDINAL
ma-171	200	1	1− φ1)(1− φ2)β1δ +	EVENT
ma-171	200	2	1− φ2)(1− δ)β1 α+	ORG
ma-171	200	3	1− φ2)(1− δ)β2	DATE
ma-171	201	1	16	CARDINAL
ma-171	203	1	forβ2	PERSON
ma-171	207	1	forγ2	ORG
ma-171	207	2	αγ2 +	DATE
ma-171	207	3	2 + µγ2	QUANTITY
ma-171	208	1	forγ3	ORG
ma-171	209	1	1− δφ1for	DATE
ma-171	211	1	3	CARDINAL
ma-171	211	2	3	CARDINAL
ma-171	212	1	φ2 condom	GPE
ma-171	212	2	0.72345	CARDINAL
ma-171	212	3	0.27654	CARDINAL
ma-171	215	1	https://doi.org/10.28924/ada/ma.3.21 eur	PERSON
ma-171	216	1	j. math	PERSON
ma-171	218	1	10.28924	CARDINAL
ma-171	221	1	un	ORG
ma-171	224	1	1	CARDINAL
ma-171	224	2	c. castillo-chavez	PERSON
ma-171	224	3	z. feng	PERSON
ma-171	224	4	w. huang	PERSON
ma-171	224	5	c. castillo-chavez	PERSON
ma-171	224	6	s. blower	PERSON
ma-171	224	7	p. van den driessche	PERSON
ma-171	224	8	d. kirschner	PERSON
ma-171	225	1	yakubu	PERSON
ma-171	225	2	new york	GPE
ma-171	225	3	new york	GPE
ma-171	225	4	ny	GPE
ma-171	225	5	2002	DATE
ma-171	227	1	229-250	CARDINAL
ma-171	228	1	s.c. weller	ORG
ma-171	228	2	k. davis-beaty	PERSON
ma-171	228	3	cochrane databasesyst	PERSON
ma-171	229	1	2012	DATE
ma-171	229	2	2002	DATE
ma-171	230	1	j.h. herbst	PERSON
ma-171	230	2	x. zhang	PERSON
ma-171	230	3	c.e.	GPE
ma-171	230	4	the united states	GPE
ma-171	230	5	jaids j. acq.	PERSON
ma-171	230	6	immune defic	ORG
ma-171	232	1	68	CARDINAL
ma-171	232	2	337	CARDINAL
ma-171	232	3	r.w. mbogo	GPE
ma-171	232	4	l.s.	GPE
ma-171	232	5	luboobi	ORG
ma-171	232	6	kenya	GPE
ma-171	234	1	5 (2018) 1475590.	PERCENT
ma-171	235	1	https://doi.org/10.1080/25742558.2018	PERSON
ma-171	236	1	tireito	PERSON
ma-171	236	2	g.o.	GPE
ma-171	236	3	lawi	PERSON
ma-171	236	4	o.a. colleta	PERSON
ma-171	236	5	asian	NORP
ma-171	237	1	j. math	PERSON
ma-171	238	1	10	CARDINAL
ma-171	238	2	1	CARDINAL
ma-171	239	1	i. cremin	PERSON
ma-171	239	2	r. alsallaq	PERSON
ma-171	239	3	m. dybul	PERSON
ma-171	239	4	p. piot	PERSON
ma-171	239	5	g. garnett	PERSON
ma-171	239	6	t.b.	GPE
ma-171	239	7	hallett	ORG
ma-171	239	8	27	CARDINAL
ma-171	239	9	2013	DATE
ma-171	239	10	447	CARDINAL
ma-171	241	1	helton	PERSON
ma-171	241	2	r.l.	PERSON
ma-171	241	3	j.b. brown	PERSON
ma-171	243	1	28	CARDINAL
ma-171	243	2	1985	DATE
ma-171	243	3	243	CARDINAL
ma-171	244	1	baeten	GPE
ma-171	244	2	j.e. haberer	PERSON
ma-171	244	3	liu	PERSON
ma-171	244	4	n. sista	PERSON
ma-171	247	1	j. acq.	PERSON
ma-171	247	2	immune defic	ORG
ma-171	249	1	63	CARDINAL
ma-171	249	2	2013	DATE
ma-171	249	3	122	CARDINAL
ma-171	254	1	4	CARDINAL
ma-171	256	1	https://doi.org/10.28924/ada/ma.3.21 https://doi.org/10.1007/978-1-4757-3667-0_13	PERSON
ma-171	257	1	j. math	PERSON
ma-171	259	1	10.28924	CARDINAL
ma-171	260	1	10	CARDINAL
ma-171	260	2	p. van den driessche	PERSON
ma-171	260	3	j. watmough	PERSON
ma-171	261	1	biosci	PERSON
ma-171	262	1	180 (2002	DATE
ma-171	262	2	29	CARDINAL
ma-171	263	1	00108-6.[11	CARDINAL
ma-171	263	2	k.r. amico	PERSON
ma-171	263	3	m.j.	PERSON
ma-171	263	4	clin	PERSON
ma-171	266	1	59	CARDINAL
ma-171	266	2	2014	DATE
ma-171	267	1	yusuf	PERSON
ma-171	267	2	f. benyah	PERSON
ma-171	267	3	southafrica	GPE
ma-171	267	4	j. biol	PERSON
ma-171	269	1	6	CARDINAL
ma-171	269	2	2012	DATE
ma-171	269	3	475	CARDINAL
ma-171	271	1	2019	CARDINAL
ma-171	271	2	u.s food and drug administration	ORG
ma-171	273	1	2011	DATE
ma-171	274	1	@par}rst-drug-for-reducing	ORG
ma-171	274	2	x. wang	PERSON
ma-171	274	3	descartes	GPE
ma-171	274	4	amer	PERSON
ma-171	275	1	mon	PERSON
ma-171	276	1	111	DATE
ma-171	276	2	2004	DATE
ma-171	276	3	525	CARDINAL
ma-171	277	1	10.2307/4145072	CARDINAL
ma-171	278	1	https://doi.org/10.28924/ada/ma.3.21 https://doi.org/10.1016/s0025-5564(02)00108-6	PERSON
ma-171	278	2	1	CARDINAL
ma-171	278	3	2	CARDINAL
ma-171	278	4	3	CARDINAL
ma-171	278	5	3.1	CARDINAL
ma-171	279	1	3.2	CARDINAL
ma-171	280	1	4	CARDINAL
ma-171	281	1	5	CARDINAL